$\mathcal{C}\mathcal{P}$-violation sensitivity of closed-shell radium-containing polyatomic molecular ions

Abstract

Closed-shell atoms and molecules such as Hg or TlF provide some of the best low-energy tests of hadronic $\mathcal{C}\mathcal{P}$-violation which is considered to be a necessary ingredient to explain the observed excess of matter over antimatter in our universe. $\mathcal{C}\mathcal{P}$-violation is, however, expected to be strongly enhanced in octupole deformed nuclei such as ${}^{225}$Ra. Recently, closed-shell radium-containing symmetric-top molecular ions were cooled sympathetically in a Coulomb crystal [M. Fan et al., Phys. Rev. Lett. 126, 023002 (2021)] and shown to be well-suited for precision spectroscopy in the search for fundamental physics [P. Yu and N. R. Hutzler, Phys. Rev. Lett. 126, 023003 (2021)]. In closed-shell molecules hadronic $\mathcal{C}\mathcal{P}$-violation contributes to a net electric dipole moment (EDM) that violates parity and time-reversal symmetry ($\mathcal{P},\mathcal{T}$), which is the target of measurements. To interpret experiments, it is indispensable to know the electronic structure enhancement parameters for the various sources of $\mathcal{P},\mathcal{T}$-violation which contribute to the net $\mathcal{P},\mathcal{T}$-odd EDM. In this paper we employ relativistic Hartree--Fock and density functional theory calculations to determine relevant parameters for interpretation of possible EDM measurements in RaOCH${}_3^{+}$, RaSH${}^{+}$, RaCH${}_3^{+}$, RaCN${}^{+}$, and RaNC${}^{+}$ and perform accurate relativistic coupled cluster calculations of the Schiff moment enhancement in RaSH${}^{+}$ to gauge the quality of the density functional theory approach. Finally, we project to bounds on various fundamental $\mathcal{P},\mathcal{T}$-odd parameters that could be achievable from an experiment with RaOCH${}_3^{+}$ in the near future and asses the complementarity of this experiment to experiments with Hg and TlF.

arXiv commentUpdated references, corrected Wm values for RaCH3+, RaCN+ and RaNC+ in Table VII and in the supplement

References in corpus (42)

• Violations of fundamental symmetries in atoms and tests of unification theories of elementary particles
• Electric Dipole Moments of the Atoms, Molecules, Nuclei and Particles
• Reduced Limit on the Permanent Electric Dipole Moment of ${}^{199}$Hg
• A new bound on the electron's electric dipole moment
• Precision Measurement of Time-Reversal Symmetry Violation with Laser-Cooled Polyatomic Molecules
• Sisyphus Laser Cooling of a Polyatomic Molecule
• Enhanced T-odd P-odd Electromagnetic Moments in Reflection Asymmetric Nuclei
• Nuclear time-reversal violation and the Schiff moment of 225Ra
• Sensitive Chiral Analysis via Microwave Three-wave Mixing
• Probing exotic phenomena at the interface of nuclear and particle physics with the electric dipole moments of diamagnetic atoms: A unique window to hadronic and semi-leptonic CP violation
• Collective T- and P- Odd Electromagnetic Moments in Nuclei with Octupole Deformations
• Electric Dipole Moments: A Global Analysis
• Polyatomic candidates for cooling of molecules with lasers from simple theoretical concepts
• Spectroscopy of short-lived radioactive molecules: A sensitive laboratory for new physics
• Improved limit on the ${}^{225}$Ra electric dipole moment
• The nuclear Schiff moment and time invariance violation in atoms
• Laser-coolable polyatomic molecules with heavy nuclei
• Baryon mass splittings and strong CP violation in SU(3) Chiral Perturbation Theory
• Correlating Schiff moments in the light actinides with octupole moments
• CeNTREX: A new search for time-reversal symmetry violation in the ${}^{205}$Tl nucleus
• Probing Fundamental Symmetries of Deformed Nuclei in Symmetric Top Molecules
• Quantum Control of Trapped Polyatomic Molecules for eEDM Searches
• Isotope Shifts of Radium Monofluoride Molecules
• Ab initio study of parity and time-reversal violation in laser-coolable triatomic molecules
• Enhanced $\mathcal{P},\mathcal{T}$-violating nuclear magnetic quadrupole moment effects in laser-coolable molecules
• Optical Mass Spectrometry of Cold ${\mathrm{RaOH}}^{+}$ and ${{\mathrm{RaOCH}}_3}^{+}$
• Model-independent determinations of the electron EDM and the role of diamagnetic atoms
• Systematic study of relativistic and chemical enhancements of $\mathcal{P},\mathcal{T}$-odd effects in polar diatomic radicals
• A robust limit for the electric dipole moment of the electron
• Electron electric dipole moment searches using clock transitions in ultracold molecules
• Chiral molecules as sensitive probes for direct detection of $\mathcal{P}$-odd cosmic fields
• Systematic study and uncertainty evaluation of $P,T$-odd molecular enhancement factors in BaF
• Toolbox approach for quasi-relativistic calculation of molecular properties for precision tests of fundamental physics
• $\mathcal{P}$,$\mathcal{T}$-odd effects for RaOH molecule in the excited vibrational state
• Spectroscopy on the eEDM-sensitive states of ThF${}^{+}$
• Zeroth order regular approximation approach to electric dipole moment interactions of the electron
• Molecular enhancement factors for P, T-violating eEDM in BaCH${}_3$ and YbCH${}_3$ symmetric top molecules
• Rovibrational structure of the Ytterbium monohydroxide molecule and the $\mathcal{P}$,$\mathcal{T}$-violation searches
• Engineering field-insensitive molecular clock transitions for symmetry violation searches
• Quantum-Enhanced Metrology for Molecular Symmetry Violation using Decoherence-Free Subspaces
• Parity nonconserving interactions of electrons in chiral molecules with cosmic fields
• Electric dipole moments due to nuclear Schiff moment interactions: A reassessment of the atoms ${}^{129}$Xe, ${}^{199}$Hg, and the molecule ${}^{205}$TlF

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• Relativistic Exact Two-Component Coupled-Cluster Study of Molecular Sensitivity Factors for Nuclear Schiff Moments
• Relativistic atomic structure calculations in support of spectroscopy
• Laser spectroscopy and CP-violation sensitivity of actinium monofluoride
• High-sensitivity molecular spectroscopy of SrOH using magneto-optical trapping